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# Payoff Matrix Explained

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5. From the following payoff matrix, where the payoffs (negative values) are the years of possible imprisonment of individuals A and B, determine (a) whether individual A has a dominant strategy, (b) whether individual B has a dominant strategy, (c) the optimal strategy for each individual. (d) Do individuals A and B face a prisonerâ??s dilemma?

Individual B
Confess Don't Confess
Confess (-5,-5) (-1,-10)
Individual A
Don't Confess (-10,-1) (-2,-2)

https://brainmass.com/economics/game-theory/payoff-matrix-explained-418949

#### Solution Preview

Let's define what dominant strategy (DS) mean.

If one has a strategy that always gives him a higher payoff regardless of what his opponent plays, this strategy is called DS.

Clearly, A has a DS and ...

#### Solution Summary

This solution explains the payoff matrix in a prisoner's dilemma situation in 145 words in an attached Word document.

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